Question

the diameter of a circle is 2 inches. what is the area?
give the exact answer in simplest form.
square inches

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 2 \) inches, so \( r=\frac{d}{2}=\frac{2}{2}=1 \) inch.

Step2: Use the area formula

The area formula of a circle is \( A=\pi r^{2} \). Substitute \( r = 1 \) into the formula: \( A=\pi\times(1)^{2}=\pi \).

Answer:

\(\pi\)